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Finding the Fourth Proportional to 16,425.60, 24,661.22 and 11,416.16

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Solution

The fourth proportional to 16,425.60, 24,661.22 and 11,416.16 is: 17,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425.60 : 24,661.22 = 11,416.16 : x
  2. Step 2: Convert to fraction form
    16,425.60/24,661.22 = 11,416.16/x
  3. Step 3: Cross multiply
    16,425.60x = 24,661.22 × 11,416.16
  4. Step 4: Simplify right side
    16,425.60x = 281,536,252.93
  5. Step 5: Solve for x
    x = 281,536,252.93/16,425.60
  6. Step 6: Final answer
    x = 17,140.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.